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Q:

# Are all parallelograms rectangles?

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Not all parallelograms are rectangles. A parallelogram is only a rectangle if it has four right angles and two pairs of parallel, congruent sides. Rectangles can also be called equiangular quadrilaterals, which means that they have four sides and equal angles. If three-dimensional, a rectangle is called a parallelepiped.

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Types of parallelograms that are not rectangles include rhombuses and rhomboids. A square, technically a type of rectangle, is also a parallelogram. All parallelograms have two sets of parallel and congruent sides and four edges or vertices. Parallelograms are always simple quadrilaterals, or four-sided figures, that do not intersect themselves. Finally, they always have opposite angles that are equal in measure.

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## Related Questions

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Examples of parallelograms include rectangles, squares and rhombuses. Algebra.com defines a parallelogram as a quadrilateral, or polygon with four sides that are straight, with opposite sides that run parallel to each other.

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Real life examples of parallelograms include tables, desks, arrangements of streets on a map, boxes, building blocks, paper and the Dockland office building in Hamburg, Germany. A parallelogram is a two-dimensional shape that has opposite sides that are equal in length and parallel to each other, and opposite angles that are equal. Rectangles, squares and rhombuses are all parallelograms, so any object that has one of these shapes is a parallelogram.

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Two examples of parallelograms seen in everyday life are the United States Postal Service symbol and the intricate structures on the neck of a guitar. A parallelogram is a quadrilateral with both pairs of opposite sides being parallel.